A simple proof of 𝐿^{𝑞}-estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part II: Weak solutions

DOI10.1090/S0002-9939-2012-11640-5zbMath1260.35111MaRDI QIDQ4911833

Mads Kyed, Giovanni Paolo Galdi

Publication date: 20 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)

Related Items (13)

Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity ⋮ On the Stokes-type resolvent problem associated with time-periodic flow around a rotating obstacle ⋮ Exponential decay of the vorticity in the steady-state flow of a viscous liquid past a rotating body ⋮ Steady-State Navier–Stokes Problem Past a Rotating Body: Geometric-Functional Properties and Related Questions ⋮ Viscous flow around a rigid body performing a time-periodic motion ⋮ On the Oseen-Type Resolvent Problem Associated with Time-Periodic Flow past a Rotating Body ⋮ \(L^r\)-results of the stationary Navier-Stokes flows around a rotating obstacle ⋮ Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity ⋮ Linearized stationary incompressible flow around rotating and translating bodies -- Leray solutions ⋮ A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation ⋮ \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force ⋮ \(L^3\)-solutions for the stationary Navier-Stokes equations in the exterior of a rotating obstacle ⋮ On the asymptotic structure of steady Stokes and Navier-Stokes flows around a rotating two-dimensional body

Cites Work

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• Steady-state Navier-Stokes flows past a rotating body: Leray solutions are physically reasonable
• Steady flow of a Navier-Stokes fluid around a rotating obstacle
• \(L^q\)-theory of a singular winding integral operator arising from fluid dynamics.
• An \(L^q\)-analysis of viscous fluid flow past a rotating obstacle
• \(L^q\) estimates of weak solutions to the stationary Stokes equations around a rotating body
• On the existence of steady flows of a Navier–Stokes liquid around a moving rigid body
• Weak solutions to the Navier–Stokes equations in a Y-shaped domain
• 𝐿^{𝑞}-approach of weak solutions to stationary rotating Oseen equations in exterior domains
• A simple proof of 𝐿^{𝑞}-estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part I: Strong solutions

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